Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
Ann. Fac. Sci. Toulouse Math.
We study points of density $1/2$ of sets of finite perimeter in
infinite-dimensional Gaussian spaces and prove that, as in the
finite-dimensional theory, the surface measure is concentrated on
this class of points. Here density $1/2$ is formulated in terms of
the pointwise behaviour of the Ornstein-Uhlenbeck semigroup.
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